Question

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Arrange the given polynomial in order of decreasing degree in x ​

Answer 1

it is your answer. we are writing this in decreaing order because of the degree of the no.

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Answer 2

Step-by-step explanation:

See here we have to arrange the polynomial, right. in decreasing order. ok

so we have to see that which term x has the highest power.

here you can see that

$2 {x } ^{2} {y}^{2} - 8x {y}^{3} + {x}^{4} - {y}^{4}$

is given

$so \: {x}^{4} \: is \: having \: the \: greatest \: power \: i.e. \: 4$

so it should come first as we have to arrange it in decreasing order. ok.

But here we have ti arrange it with respect to degree for x not for y. Ok

so the arrangement is

${x}^{4} + 2 {x}^{2} {y}^{2} + 8x {y}^{3} - {y}^{4}$

Just see that we have to arrange in accordance to x not for y. so we arranged like this.

If it would have asked that only arrange in decreasing order then there will be importance of y also. OK.

Thank you......

Hope it helps....

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